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Finding the Fourth Proportional to 174,295.82, 261,477.75 and 55,958.06

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Solution

The fourth proportional to 174,295.82, 261,477.75 and 55,958.06 is: 83,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,295.82 : 261,477.75 = 55,958.06 : x
  2. Step 2: Convert to fraction form
    174,295.82/261,477.75 = 55,958.06/x
  3. Step 3: Cross multiply
    174,295.82x = 261,477.75 × 55,958.06
  4. Step 4: Simplify right side
    174,295.82x = 14,631,787,623.17
  5. Step 5: Solve for x
    x = 14,631,787,623.17/174,295.82
  6. Step 6: Final answer
    x = 83,948.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.